Erden, SametSarikaya, M.Z.2023-07-262023-07-2620202086-8952https://doi.org/10.22342/JIMS.26.3.919.345-368https://hdl.handle.net/20.500.12684/13601We establish some Ostrowski type inequalities involving higher-order partial derivatives for two dimensional integrals on Lebesgue spaces (L?, Lp and L1). Some applications in Numerical Analysis in connection with cubature formula are given. Finally, with the help of obtained inequality, we establish applications for the kth moment of random variables. © 2020 The Indonesian Mathematical Society. All right reserved.en10.22342/JIMS.26.3.919.345-368info:eu-repo/semantics/openAccessCubature formulaOstrowski inequalityRandom variableArticle2633453682-s2.0-85147484057N/AN/A